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Finding the Fourth Proportional to 3,882.38, 5,823.65 and 960.61

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Solution

The fourth proportional to 3,882.38, 5,823.65 and 960.61 is: 1,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.38 : 5,823.65 = 960.61 : x
  2. Step 2: Convert to fraction form
    3,882.38/5,823.65 = 960.61/x
  3. Step 3: Cross multiply
    3,882.38x = 5,823.65 × 960.61
  4. Step 4: Simplify right side
    3,882.38x = 5,594,249.78
  5. Step 5: Solve for x
    x = 5,594,249.78/3,882.38
  6. Step 6: Final answer
    x = 1,440.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.